Abstract

We study the single top and Higgs associated productione-p→νet-→νehq-(h→bb-)in the top-Higgs FCNC couplings at the LHeC with the electron beam energy ofEe=60 GeV andEe=120 GeV and combination of a 7 TeV and 50 TeV proton beam. With the possibility ofe-beam polarization (pe=0,±0.6), we distinct the cut-based method and the multivariate analysis- (MVA-) based method and compare with the current experimental and theoretical limits. It is shown that the branching ratioBr(t→uh)can be probed to 0.113 (0.093%), 0.071 (0.057%), 0.030 (0.022%), and 0.024 (0.019%) with the cut-based (MVA-based) analysis at (Ep,Ee) = (7 TeV, 60 GeV), (Ep,Ee) = (7 TeV, 120 GeV), (Ep,Ee) = (50 TeV, 60 GeV), and (Ep,Ee) = (50 TeV, 120 GeV) beam energy and 1σlevel. With the possibility ofe-beam polarization, the expected limits can be probed down to 0.090 (0.073%), 0.056 (0.045%), 0.024 (0.018%), and 0.019 (0.015%), respectively.

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